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Finding the Fourth Proportional to 7,686.90, 10,607.49 and 4,500.23

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Solution

The fourth proportional to 7,686.90, 10,607.49 and 4,500.23 is: 6,210.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,686.90 : 10,607.49 = 4,500.23 : x
  2. Step 2: Convert to fraction form
    7,686.90/10,607.49 = 4,500.23/x
  3. Step 3: Cross multiply
    7,686.90x = 10,607.49 × 4,500.23
  4. Step 4: Simplify right side
    7,686.90x = 47,736,091.69
  5. Step 5: Solve for x
    x = 47,736,091.69/7,686.90
  6. Step 6: Final answer
    x = 6,210.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.